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3 years ago

Can you help me solve this?

Mathematics

2 answers:

Natalka [10]3 years ago

6 0

Answer:

first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why $\sqrt{12}$ is an irrational number is bc it's not a perfect square while $\sqrt{49}$ equals to 7 and is a perfect square.

Dahasolnce [82]3 years ago

5 0

Answer:

rational
irrational
rational
rational
irrational

Step-by-step explanation:

Numbers given

6.(32)

This is repeat non-terminating number which can be expressed as a fraction, so it is rational

3.121121112...

this is non-repeat non-terminating number which can't be expressed as a fraction so it is irrational

√49 = 7

This is rational

-27/4

This is rational

√12 = 2√3

This is not a perfect square and is irrational

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6c - (3 – 3c) = 24 Solve equation step by step

kap26 [50]

Hi there! :)

$\large\boxed{c = 3}$

6c - (3 - 3c) = 24

Distribute the negative sign with terms inside the parenthesis;

6c - (3) - (-3c) = 24

6c - 3 + 3c = 24

Combine like terms:

9c - 3 = 24

Add 3 to both sides:

9c = 27

Divide both sides by 9:

c = 3.

7 0

3 years ago

Read 2 more answers

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The manager’s target is to

exis [7]

the complete question in the attached figure

we have

$72 ------------------------------------ > for every television sold

$90 ------------------------------------ > for every computer sold.

let

x--------------------- > numbers of television sold

y--------------------- > numbers of computer sold

then

72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5

y >= (5-x)/1.25--------------see the graph in attached figure

case A---------- > (5,2) (3,3) (1,4)

72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

case B------------ > (4,0) (2,2) (1,1)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution

case C------------ > (3,1) (2,2) (1,0)

72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution

case D------------ > (4,0) (3,3) (1,4)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

the answer is case A

4 0

4 years ago

Read 2 more answers

Solve x^2+ 4x =15 thxssss

dmitriy555 [2]

Answer:

x=3/5

Step-by-step explanation:

x^2+4x=5

x+4x=5x

5x+2=5

-2 -2

5x=3

divide 5 from each side

5/5x=3/5

x=3/5

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3 years ago

What does -3 1/6+6 2/3 equal

Step2247 [10]

Answer:

3½

Step-by-step explanation:

-3 - 1/6 + 6 + 2/3

3 + 4/6 - 1/6

3 + 3/6

3½

6 0

4 years ago

Read 2 more answers

Can you help me solve this?​

Can you help me solve this?